{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ad1a3d52-abac-4bbc-9521-ff9c9398b2e1",
   "metadata": {},
   "source": [
    "Chapter 15\n",
    "# 节点间路径，有向图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fb3e1af4-c0b9-4bbd-a989-a75097c07f06",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "95f76998-8cae-488e-ba11-7dea1c509547",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一个包含5个节点的无向完全图\n",
    "G_undirected = nx.complete_graph(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2ebbd7c7-5e83-4160-a056-cf1cd2dd0710",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一个新的有向图\n",
    "G_directed = nx.DiGraph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "fe67dcdd-c461-4109-847e-6e54997faa12",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 为每对节点随机选择方向\n",
    "random.seed(8)\n",
    "for u, v in G_undirected.edges():\n",
    "    if random.choice([True, False]):\n",
    "        G_directed.add_edge(u, v)\n",
    "    else:\n",
    "        G_directed.add_edge(v, u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2fe809ae-bca5-4a29-ba2d-e994485254e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化图\n",
    "plt.figure(figsize = (6,6))\n",
    "pos = nx.circular_layout(G_directed)\n",
    "nx.draw_networkx(G_directed, \n",
    "                 pos = pos,\n",
    "                 with_labels = True,\n",
    "                 node_size = 188) \n",
    "plt.savefig('完全图，设定边方向.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "ec0b77fb-25f5-4657-97a3-2ad18a820d41",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 节点0为始点、3为终点之间所有路径\n",
    "\n",
    "all_paths_nodes = nx.all_simple_paths(G_directed, source=0, target=3)\n",
    "# 节点0为始点、3为终点所有路径上的节点\n",
    "\n",
    "all_paths_edges = nx.all_simple_edge_paths(G_directed, source=0, target=3)\n",
    "# 节点0为始点、3为终点所有路径上的边\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, \n",
    "                         figsize = (8,4))\n",
    "\n",
    "axes = axes.flatten()\n",
    "\n",
    "for nodes_i, edges_i, ax_i in zip(all_paths_nodes,\n",
    "                                  all_paths_edges,\n",
    "                                  axes):\n",
    "    \n",
    "    nx.draw_networkx(G_directed, \n",
    "                     ax = ax_i,\n",
    "                     pos = pos,\n",
    "                     with_labels = True,\n",
    "                     node_size = 88) \n",
    "    \n",
    "    nx.draw_networkx_nodes(G_directed,\n",
    "                           ax = ax_i,\n",
    "                           nodelist = nodes_i,\n",
    "                           pos = pos,\n",
    "                           node_size = 88,\n",
    "                           node_color = 'r')\n",
    "\n",
    "    nx.draw_networkx_edges(G_directed,\n",
    "                           pos = pos,\n",
    "                           ax = ax_i,\n",
    "                           edgelist = edges_i,\n",
    "                           edge_color = 'r')\n",
    "        \n",
    "    ax_i.set_title(' → '.join(str(node) for node in nodes_i))\n",
    "    ax_i.axis('off')\n",
    "    \n",
    "plt.savefig('节点0为始点、3为终点的所有路径，有向图.svg')   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "fc8f049e-1390-461d-9dc1-42d202486e9a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 节点3为始点、0为终点之间所有路径\n",
    "\n",
    "all_paths_nodes = nx.all_simple_paths(G_directed, source=3, target=0)\n",
    "# 节点3为始点、0为终点所有路径上的节点\n",
    "\n",
    "all_paths_edges = nx.all_simple_edge_paths(G_directed, source=3, target=0)\n",
    "# 节点3为始点、0为终点所有路径上的边\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, \n",
    "                         figsize = (8,4))\n",
    "\n",
    "axes = axes.flatten()\n",
    "\n",
    "for nodes_i, edges_i, ax_i in zip(all_paths_nodes,\n",
    "                                  all_paths_edges,\n",
    "                                  axes):\n",
    "    \n",
    "    nx.draw_networkx(G_directed, \n",
    "                     ax = ax_i,\n",
    "                     pos = pos,\n",
    "                     with_labels = True,\n",
    "                     node_size = 88) \n",
    "    \n",
    "    nx.draw_networkx_nodes(G_directed,\n",
    "                           ax = ax_i,\n",
    "                           nodelist = nodes_i,\n",
    "                           pos = pos,\n",
    "                           node_size = 88,\n",
    "                           node_color = 'r')\n",
    "\n",
    "    nx.draw_networkx_edges(G_directed,\n",
    "                           pos = pos,\n",
    "                           ax = ax_i,\n",
    "                           edgelist = edges_i,\n",
    "                           edge_color = 'r')\n",
    "        \n",
    "    ax_i.set_title(' → '.join(str(node) for node in nodes_i))\n",
    "    ax_i.axis('off')\n",
    "    \n",
    "plt.savefig('节点3为始点、0为终点的所有路径，有向图.svg')   "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
